Preprint 2000-049

High Resolution Nonoscillatory Central Difference Schemes for the 2D Euler Equations via Artificial Compression

Knut-Andreas Lie and Sebastian Noelle

Abstract: We suggest to augment second-order, nonoscillatory, central difference schemes with Harten's artificial compression method (ACM) to sharpen the resolution of linear fields. ACM employs a partial characteristic decomposition to single out the linear fields, for which a steeper reconstruction is applied. The remarkable power of this technique is demonstrated for three test problems for the Euler equations from gas dynamics, and its dangers are pointed out.

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Knut-Andreas Lie, <>
Sebastian Noelle, <>
Publishing information:
Accepted in the Proceedings of the 11th ECMI Conference
Revised version, May 2001.
Submitted by:
<> December 8 2000.

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